A GENERAL FIXED POINT THEOREM FOR MAPPINGS ON INCOMPLETE G-METRIC SPACES

In this paper a generalized fixed point theorem which generalizes Theorem 2.1 of Mustafa et al. [Existence of fixed point results in G-metric spaces, Int. J. Math. Math. Sci., 2009, Article ID 283028] and Theorem 2.1 of Mustafa et al. [Fixed point theorems for maps in incomplete G-metric spaces, Appl. Math. Sci., 7(2013), No. 46, 2271-2281] is proved for mappings satisfying an implicit relation.